Sure thing, let's get straight to it. We start with 589 and we're going to multiply it by 126, which means adding 589 to itself 126 times.
Step 1: 0 + 589 = 589
Step 2: 589 + 589 = 1178
Step 3: 1178 + 589 = 1767
Step 4: 1767 + 589 = 2356
Step 5: 2356 + 589 = 2945
Step 6: 2945 + 589 = 3534
Step 7: 3534 + 589 = 4123
Step 8: 4123 + 589 = 4712
Step 9: 4712 + 589 = 5301
Step 10: 5301 + 589 = 5890
Step 11: 5890 + 589 = 6479
Step 12: 6479 + 589 = 7068
Step 13: 7068 + 589 = 7657
Step 14: 7657 + 589 = 8246
Step 15: 8246 + 589 = 8835
Step 16: 8835 + 589 = 9424
Step 17: 9424 + 589 = 10013
Step 18: 10013 + 589 = 10602
Step 19: 10602 + 589 = 11191
Step 20: 11191 + 589 = 11780
Step 21: 11780 + 589 = 12369
Step 22: 12369 + 589 = 12958
Step 23: 12958 + 589 = 13547
Step 24: 13547 + 589 = 14136
Step 25: 14136 + 589 = 14725
Step 26: 14725 + 589 = 15314
Step 27: 15314 + 589 = 15903
Step 28: 15903 + 589 = 16492
Step 29: 16492 + 589 = 17081
Step 30: 17081 + 589 = 17670
Step 31: 17670 + 589 = 18259
Step 32: 18259 + 589 = 18848
Step 33: 18848 + 589 = 19437
Step 34: 19437 + 589 = 20026
Step 35: 20026 + 589 = 20615
Step 36: 20615 + 589 = 21204
Step 37: 21204 + 589 = 21793
Step 38: 21793 + 589 = 22382
Step 39: 22382 + 589 = 22971
Step 40: 22971 + 589 = 23560
Step 41: 23560 + 589 = 24149
Step 42: 24149 + 589 = 24738
Step 43: 24738 + 589 = 25327
Step 44: 25327 + 589 = 25916
Step 45: 25916 + 589 = 26505
Step 46: 26505 + 589 = 27094
Step 47: 27094 + 589 = 27683
Step 48: 27683 + 589 = 28272
Step 49: 28272 + 589 = 28861
Step 50: 28861 + 589 = 29450
Step 51: 29450 + 589 = 30039
Step 52: 30039 + 589 = 30628
Step 53: 30628 + 589 = 31217
Step 54: 31217 + 589 = 31806
Step 55: 31806 + 589 = 32395
Step 56: 32395 + 589 = 32984
Step 57: 32984 + 589 = 33573
Step 58: 33573 + 589 = 34162
Step 59: 34162 + 589 = 34751
Step 60: 34751 + 589 = 35340
Step 61: 35340 + 589 = 35929
Step 62: 35929 + 589 = 36518
Step 63: 36518 + 589 = 37107
Step 64: 37107 + 589 = 37696
Step 65: 37696 + 589 = 38285
Step 66: 38285 + 589 = 38874
Step 67: 38874 + 589 = 39463
Step 68: 39463 + 589 = 40052
Step 69: 40052 + 589 = 40641
Step 70: 40641 + 589 = 41230
Step 71: 41230 + 589 = 41819
Step 72: 41819 + 589 = 42408
Step 73: 42408 + 589 = 42997
Step 74: 42997 + 589 = 43586
Step 75: 43586 + 589 = 44175
Step 76: 44175 + 589 = 44764
Step 77: 44764 + 589 = 45353
Step 78: 45353 + 589 = 45942
Step 79: 45942 + 589 = 46531
Step 80: 46531 + 589 = 47120
Step 81: 47120 + 589 = 47709
Step 82: 47709 + 589 = 48298
Step 83: 48298 + 589 = 48887
Step 84: 48887 + 589 = 49476
Step 85: 49476 + 589 = 50065
Step 86: 50065 + 589 = 50654
Step 87: 50654 + 589 = 51243
Step 88: 51243 + 589 = 51832
Step 89: 51832 + 589 = 52421
Step 90: 52421 + 589 = 53010
Step 91: 53010 + 589 = 53599
Step 92: 53599 + 589 = 54188
Step 93: 54188 + 589 = 54777
Step 94: 54777 + 589 = 55366
Step 95: 55366 + 589 = 55955
Step 96: 55955 + 589 = 56544
Step 97: 56544 + 589 = 57133
Step 98: 57133 + 589 = 57722
Step 99: 57722 + 589 = 58311
Step 100: 58311 + 589 = 58900
Step 101: 58900 + 589 = 59489
Step 102: 59489 + 589 = 60078
Step 103: 60078 + 589 = 60667
Step 104: 60667 + 589 = 61256
Step 105: 61256 + 589 = 61845
Step 106: 61845 + 589 = 62434
Step 107: 62434 + 589 = 63023
Step 108: 63023 + 589 = 63612
Step 109: 63612 + 589 = 64201
Step 110: 64201 + 589 = 64790
Step 111: 64790 + 589 = 65379
Step 112: 65379 + 589 = 65968
Step 113: 65968 + 589 = 66557
Step 114: 66557 + 589 = 67146
Step 115: 67146 + 589 = 67735
Step 116: 67735 + 589 = 68324
Step 117: 68324 + 589 = 68913
Step 118: 68913 + 589 = 69502
Step 119: 69502 + 589 = 70091
Step 120: 70091 + 589 = 70680
Step 121: 70680 + 589 = 71269
Step 122: 71269 + 589 = 71858
Step 123: 71858 + 589 = 72447
Step 124: 72447 + 589 = 73036
Step 125: 73036 + 589 = 73625
Step 126: 73625 + 589 = 74214

So, 589*126 = 74214